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<H2><ST>Content of the <tt>read.me</tt> file at ftp.cs.wisc.edu/Approx <ST></H2>
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These are the files that can be obtained by anonymous
<!WA0><!WA0><!WA0><!WA0><A HREF="ftp://ftp.cs.wisc.edu/Approx"><!WA1><!WA1><!WA1><!WA1><img align=bottom src="http://www.cs.wisc.edu/~deboor/ftp.gif"></A>
from <TT>ftp.cs.wisc.edu/Approx</TT>.
The files are postscript, and are also available as compress(ed) files, as
indicated by the subscript <TT>.Z</TT>, to be <TT>uncompress</TT>(ed) before 
using.<BR>

If you have trouble because of file contamination, specify <TT>binary</TT>
  as your<BR>
first command in <TT>ftp</TT>.<BR>

The files are in order of increasing age.<BR>


<P>
<DD><!WA2><!WA2><!WA2><!WA2><A href="ftp://ftp.cs.wisc.edu/Approx/bmr.ps"><!WA3><!WA3><!WA3><!WA3><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>bmr.ps</TT>,   <!WA4><!WA4><!WA4><!WA4><A href="ftp://ftp.cs.wisc.edu/Approx/bmr.ps.Z"><!WA5><!WA5><!WA5><!WA5><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>bmr.ps.Z</TT> :=<BR>
Asymptotically Optimal Approximation and Numerical Solutions of Differential <BR>
Equations<BR>
Martin D. Buhmann, Charles A. Micchelli, Amos Ron}<BR>
October 1996<BR>

<P>
<DD><!WA6><!WA6><!WA6><!WA6><A href="ftp://ftp.cs.wisc.edu/Approx/cg.ps"><!WA7><!WA7><!WA7><!WA7><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>cg.ps</TT>,   <!WA8><!WA8><!WA8><!WA8><A href="ftp://ftp.cs.wisc.edu/Approx/cg.ps.Z"><!WA9><!WA9><!WA9><!WA9><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>cg.ps.Z</TT> :=<BR>
Tight compactly supported wavelet frames of arbitrarily high smoothness<BR>
Karlheinz Gr\"ochenig, Amos  Ron<BR>
September 1996<BR>

<P>
<DD><!WA10><!WA10><!WA10><!WA10><A href="ftp://ftp.cs.wisc.edu/Approx/BDR4.ps"><!WA11><!WA11><!WA11><!WA11><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>BDR4.ps</TT>,   <!WA12><!WA12><!WA12><!WA12><A href="ftp://ftp.cs.wisc.edu/Approx/BDR4.ps.Z"><!WA13><!WA13><!WA13><!WA13><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>BDR4.ps.Z</TT> :=<BR>
Approximation orders of FSI spaces in $L_2(\Rd)$<BR>
Carl de Boor, Ron DeVore, and Amos Ron<BR>
March 1996<BR>
additional references added June-July 1996<BR>
referees' comments incorporated Aug/Sep 1996<BR>
to appear in \CA<BR>

<P>
<DD><!WA14><!WA14><!WA14><!WA14><A href="ftp://ftp.cs.wisc.edu/Approx/tight.ps"><!WA15><!WA15><!WA15><!WA15><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>tight.ps</TT>,   <!WA16><!WA16><!WA16><!WA16><A href="ftp://ftp.cs.wisc.edu/Approx/tight.ps.Z"><!WA17><!WA17><!WA17><!WA17><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>tight.ps.Z</TT> :=<BR>
Compactly supported tight affine spline frames in $L_2(\Rd)$<BR>
Amos Ron and Zuowei Shen<BR>
February 1996<BR>
to appear in Math. Comp.<BR>

<P>
<DD><!WA18><!WA18><!WA18><!WA18><A href="ftp://ftp.cs.wisc.edu/Approx/multiw.ps"><!WA19><!WA19><!WA19><!WA19><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>multiw.ps</TT>,   <!WA20><!WA20><!WA20><!WA20><A href="ftp://ftp.cs.wisc.edu/Approx/multiw.ps.Z"><!WA21><!WA21><!WA21><!WA21><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>multiw.ps.Z</TT> :=<BR>
Stability and independence of the shifts of finitely many refinable<BR>
functions<BR>
Thomas A. Hogan<BR>
January 1996<BR>

<P>
<DD><!WA22><!WA22><!WA22><!WA22><A href="ftp://ftp.cs.wisc.edu/Approx/affine.ps"><!WA23><!WA23><!WA23><!WA23><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>affine.ps</TT>,   <!WA24><!WA24><!WA24><!WA24><A href="ftp://ftp.cs.wisc.edu/Approx/affine.ps.Z"><!WA25><!WA25><!WA25><!WA25><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>affine.ps.Z</TT> :=<BR>
Affine systems in $L_2(\Rd)$: the analysis of the analysis operator<BR>
Amos Ron, Zuowei Shen<BR>
December 1995<BR>

<P>
<DD><!WA26><!WA26><!WA26><!WA26><A href="ftp://ftp.cs.wisc.edu/Approx/zerocount.ps"><!WA27><!WA27><!WA27><!WA27><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>zerocount.ps</TT>,   <!WA28><!WA28><!WA28><!WA28><A href="ftp://ftp.cs.wisc.edu/Approx/zerocount.ps.Z"><!WA29><!WA29><!WA29><!WA29><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>zerocount.ps.Z</TT> :=<BR>
The multiplicity of a spline zero<BR>
Carl de Boor<BR>
December 1995/ January 96 (reflect referee's comments)<BR>
to appear in Ann. Numer.Math.<BR>

<P>
<DD><!WA30><!WA30><!WA30><!WA30><A href="ftp://ftp.cs.wisc.edu/Approx/ker2.ps"><!WA31><!WA31><!WA31><!WA31><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>ker2.ps</TT>,   <!WA32><!WA32><!WA32><!WA32><A href="ftp://ftp.cs.wisc.edu/Approx/ker2.ps.Z"><!WA33><!WA33><!WA33><!WA33><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>ker2.ps.Z</TT> :=<BR>
On ascertaining inductively the dimension of the joint kernel <BR>
of certain commuting linear operators. II<BR>
Carl de Boor, Amos Ron, Zuowei Shen<BR>
May 1995<BR>
to appear in Adv. in Math.<BR>

<P>
<DD><!WA34><!WA34><!WA34><!WA34><A href="ftp://ftp.cs.wisc.edu/Approx/cdr.ps"><!WA35><!WA35><!WA35><!WA35><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>cdr.ps</TT>,   <!WA36><!WA36><!WA36><!WA36><A href="ftp://ftp.cs.wisc.edu/Approx/cdr.ps.Z"><!WA37><!WA37><!WA37><!WA37><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>cdr.ps.Z</TT> :=<BR>
How smooth is the smoothest function in a given refinable space?<BR>
Albert Cohen, Ingrid Daubechies, Amos Ron<BR>
May 1995<BR>
to appear in Applied and Computational Harmonic Analysis<BR>


<P>
<DD><!WA38><!WA38><!WA38><!WA38><A href="ftp://ftp.cs.wisc.edu/Approx/perturb.ps"><!WA39><!WA39><!WA39><!WA39><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>perturb.ps</TT>,   <!WA40><!WA40><!WA40><!WA40><A href="ftp://ftp.cs.wisc.edu/Approx/perturb.ps.Z"><!WA41><!WA41><!WA41><!WA41><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>perturb.ps.Z</TT> :=<BR>
Approximation in $L_p(\Rd)$ from spaces spanned by the perturbed integer<BR>
translates of a radial basis function<BR>
Michael J. Johnson<BR>
May 1995<BR>

<P>
<DD><!WA42><!WA42><!WA42><!WA42><A href="ftp://ftp.cs.wisc.edu/Approx/sauerxu.ps"><!WA43><!WA43><!WA43><!WA43><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>sauerxu.ps</TT>,   <!WA44><!WA44><!WA44><!WA44><A href="ftp://ftp.cs.wisc.edu/Approx/sauerxu.ps.Z"><!WA45><!WA45><!WA45><!WA45><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>sauerxu.ps.Z</TT> :=<BR>
On the Sauer-Xu formula for the error in multivariate polynomial interpolation;<BR>
Carl de Boor<BR>
March 1995<BR>
to appear in Math.Comp.<BR>

<P>
<DD><!WA46><!WA46><!WA46><!WA46><A href="ftp://ftp.cs.wisc.edu/Approx/frame2.ps"><!WA47><!WA47><!WA47><!WA47><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>frame2.ps</TT>,   <!WA48><!WA48><!WA48><!WA48><A href="ftp://ftp.cs.wisc.edu/Approx/frame2.ps.Z"><!WA49><!WA49><!WA49><!WA49><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>frame2.ps.Z</TT> :=<BR>
Gramian analysis of affine bases and affine frames<BR>
Amos Ron and Zuowei Shen<BR>
March 1995<BR>
\TexasVIIIw; 375--382;<BR>

<P>
<DD><!WA50><!WA50><!WA50><!WA50><A href="ftp://ftp.cs.wisc.edu/Approx/multdvdf.ps"><!WA51><!WA51><!WA51><!WA51><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>multdvdf.ps</TT>,   <!WA52><!WA52><!WA52><!WA52><A href="ftp://ftp.cs.wisc.edu/Approx/multdvdf.ps.Z"><!WA53><!WA53><!WA53><!WA53><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>multdvdf.ps.Z</TT> :=<BR>
A multivariate divided difference<BR>
Carl de Boor<BR>
March 1995<BR>
\TexasVIIIa; 87--96;<BR>

<P>
<DD><!WA54><!WA54><!WA54><!WA54><A href="ftp://ftp.cs.wisc.edu/Approx/smoothwav.ps"><!WA55><!WA55><!WA55><!WA55><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>smoothwav.ps</TT>,   <!WA56><!WA56><!WA56><!WA56><A href="ftp://ftp.cs.wisc.edu/Approx/smoothwav.ps.Z"><!WA57><!WA57><!WA57><!WA57><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>smoothwav.ps.Z</TT> :=<BR>
Smooth refinable functions provide good approximation orders<BR>
Amos Ron<BR>
February 1995<BR>
to appear in SIAM J. Math. Anal.<BR>

<P>
<DD><!WA58><!WA58><!WA58><!WA58><A href="ftp://ftp.cs.wisc.edu/Approx/stabindep_texasviii.ps"><!WA59><!WA59><!WA59><!WA59><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>stabindep_texasviii.ps</TT>,   <!WA60><!WA60><!WA60><!WA60><A href="ftp://ftp.cs.wisc.edu/Approx/stabindep_texasviii.ps.Z"><!WA61><!WA61><!WA61><!WA61><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>stabindep_texasviii.ps.Z</TT> :=<BR>
Stability and independence of the shifts of a multivariate refinable function<BR>
Tom Hogan<BR>
February 1995<BR>
\TexasVIIIw; 159--166;<BR>

<P>
<DD><!WA62><!WA62><!WA62><!WA62><A href="ftp://ftp.cs.wisc.edu/Approx/stabindep.ps"><!WA63><!WA63><!WA63><!WA63><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>stabindep.ps</TT>,   <!WA64><!WA64><!WA64><!WA64><A href="ftp://ftp.cs.wisc.edu/Approx/stabindep.ps.Z"><!WA65><!WA65><!WA65><!WA65><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>stabindep.ps.Z</TT> :=<BR>
Stability and independence of the shifts of a multivariate refinable function<BR>
Tom Hogan<BR>
February 1995<BR>


<P>
<DD><!WA66><!WA66><!WA66><!WA66><A href="ftp://ftp.cs.wisc.edu/Approx/upbound.ps"><!WA67><!WA67><!WA67><!WA67><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>upbound.ps</TT>,   <!WA68><!WA68><!WA68><!WA68><A href="ftp://ftp.cs.wisc.edu/Approx/upbound.ps.Z"><!WA69><!WA69><!WA69><!WA69><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>upbound.ps.Z</TT> :=<BR>
An upper bound on the approximation power of principal shift-invariant spaces<BR>
Michael J. Johnson<BR>
December 1994<BR>
Constructive Approximation, to appear<BR>

<P>
<DD><!WA70><!WA70><!WA70><!WA70><A href="ftp://ftp.cs.wisc.edu/Approx/lowbound.ps"><!WA71><!WA71><!WA71><!WA71><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>lowbound.ps</TT>,   <!WA72><!WA72><!WA72><!WA72><A href="ftp://ftp.cs.wisc.edu/Approx/lowbound.ps.Z"><!WA73><!WA73><!WA73><!WA73><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>lowbound.ps.Z</TT> :=<BR>
On the approximation power of principal shift-invariant subspaces of $L_p(R^d)$<BR>
Michael J. Johnson<BR>
December 1994<BR>

<P>
<DD><!WA74><!WA74><!WA74><!WA74><A href="ftp://ftp.cs.wisc.edu/Approx/wh.ps"><!WA75><!WA75><!WA75><!WA75><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>wh.ps</TT>,   <!WA76><!WA76><!WA76><!WA76><A href="ftp://ftp.cs.wisc.edu/Approx/wh.ps.Z"><!WA77><!WA77><!WA77><!WA77><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>wh.ps.Z</TT> :=<BR>
Weyl-Heisenberg frames and Riesz bases in $L_2(\Rd)$<BR>
Amos Ron  and  Zuowei Shen<BR>
October 1994<BR>
to appear in Duke Math. J.<BR>

<P>
<DD><!WA78><!WA78><!WA78><!WA78><A href="ftp://ftp.cs.wisc.edu/Approx/symmetries.ps"><!WA79><!WA79><!WA79><!WA79><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>symmetries.ps</TT>,   <!WA80><!WA80><!WA80><!WA80><A href="ftp://ftp.cs.wisc.edu/Approx/symmetries.ps.Z"><!WA81><!WA81><!WA81><!WA81><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>symmetries.ps.Z</TT> :=<BR>
Symmetries of linear functionals<BR>
Shayne Waldron<BR>
October 1994<BR>

<P>
<DD><!WA82><!WA82><!WA82><!WA82><A href="ftp://ftp.cs.wisc.edu/Approx/hardy.ps"><!WA83><!WA83><!WA83><!WA83><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>hardy.ps</TT>,   <!WA84><!WA84><!WA84><!WA84><A href="ftp://ftp.cs.wisc.edu/Approx/hardy.ps.Z"><!WA85><!WA85><!WA85><!WA85><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>hardy.ps.Z</TT> :=<BR>
A multivariate form of Hardy's inequality and $L_p$-error bounds for<BR>
multivariate Lagrange interpolation schemes<BR>
Shayne Waldron<BR>
August 1994<BR>

<P>
<DD><!WA86><!WA86><!WA86><!WA86><A href="ftp://ftp.cs.wisc.edu/Approx/lift.ps"><!WA87><!WA87><!WA87><!WA87><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>lift.ps</TT>,   <!WA88><!WA88><!WA88><!WA88><A href="ftp://ftp.cs.wisc.edu/Approx/lift.ps.Z"><!WA89><!WA89><!WA89><!WA89><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>lift.ps.Z</TT> :=<BR>
Integral error formul{\ae} for the scale of mean value interpolations which<BR>
includes Kergin and Hakopian interpolation<BR>
Shayne Waldron<BR>
July 1994<BR>

<P>
<DD><!WA90><!WA90><!WA90><!WA90><A href="ftp://ftp.cs.wisc.edu/Approx/hermite.ps"><!WA91><!WA91><!WA91><!WA91><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>hermite.ps</TT>,   <!WA92><!WA92><!WA92><!WA92><A href="ftp://ftp.cs.wisc.edu/Approx/hermite.ps.Z"><!WA93><!WA93><!WA93><!WA93><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>hermite.ps.Z</TT> :=<BR>
$L_p$-error bounds for Hermite interpolation and the associated Wirtinger<BR>
inequalities<BR>
Shayne Waldron<BR>
May 1994<BR>

<P>
<DD><!WA94><!WA94><!WA94><!WA94><A href="ftp://ftp.cs.wisc.edu/Approx/extremising.ps"><!WA95><!WA95><!WA95><!WA95><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>extremising.ps</TT>,   <!WA96><!WA96><!WA96><!WA96><A href="ftp://ftp.cs.wisc.edu/Approx/extremising.ps.Z"><!WA97><!WA97><!WA97><!WA97><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>extremising.ps.Z</TT> :=<BR>
Extremising the $L_p$-norm of a monic polynomial with roots in a given<BR>
interval and Hermite interpolation<BR>
Shayne Waldron<BR>
May 1994<BR>

<P>
<DD><!WA98><!WA98><!WA98><!WA98><A href="ftp://ftp.cs.wisc.edu/Approx/polintelim.ps"><!WA99><!WA99><!WA99><!WA99><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>polintelim.ps</TT>,   <!WA100><!WA100><!WA100><!WA100><A href="ftp://ftp.cs.wisc.edu/Approx/polintelim.ps.Z"><!WA101><!WA101><!WA101><!WA101><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>polintelim.ps.Z</TT> :=<BR>
Gauss elimination by segments and multivariate polynomial interpolation<BR>
Carl de Boor<BR>
March 1994<BR>
in (Approximation and Computation), R.V.M. Zahar (ed.),<BR>
ISNM 119, Birkh\"auser Verlag (Basel-Boston-Berlin); 1994; 1--22;<BR>

<P>
<DD><!WA102><!WA102><!WA102><!WA102><A href="ftp://ftp.cs.wisc.edu/Approx/sphere.ps"><!WA103><!WA103><!WA103><!WA103><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>sphere.ps</TT>,   <!WA104><!WA104><!WA104><!WA104><A href="ftp://ftp.cs.wisc.edu/Approx/sphere.ps.Z"><!WA105><!WA105><!WA105><!WA105><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>sphere.ps.Z</TT> :=<BR>
Strictly positive definite functions on spheres<BR>
Amos Ron and Xingping Sun<BR>
February 1994<BR>
to appear in Math. Comp.<BR>

<P>
<DD><!WA106><!WA106><!WA106><!WA106><A href="ftp://ftp.cs.wisc.edu/Approx/frame1.ps"><!WA107><!WA107><!WA107><!WA107><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>frame1.ps</TT>,   <!WA108><!WA108><!WA108><!WA108><A href="ftp://ftp.cs.wisc.edu/Approx/frame1.ps.Z"><!WA109><!WA109><!WA109><!WA109><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>frame1.ps.Z</TT> :=<BR>
Frames and stable bases for shift-invariant subspaces of $L_2(\Rd)$<BR>
Amos Ron and Zuowei Shen<BR>
February 1994<BR>
Canad. Math. J. (1995)<BR>

<P>
<DD><!WA110><!WA110><!WA110><!WA110><A href="ftp://ftp.cs.wisc.edu/Approx/pscattered.ps"><!WA111><!WA111><!WA111><!WA111><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>pscattered.ps</TT>,   <!WA112><!WA112><!WA112><!WA112><A href="ftp://ftp.cs.wisc.edu/Approx/pscattered.ps.Z"><!WA113><!WA113><!WA113><!WA113><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>pscattered.ps.Z</TT> :=<BR>
$L^p$-approximation orders with scattered centres<BR>
Martin D. Buhmann and Amos Ron<BR>
January 1994<BR>

<P>
<DD><!WA114><!WA114><!WA114><!WA114><A href="ftp://ftp.cs.wisc.edu/Approx/scattered.ps"><!WA115><!WA115><!WA115><!WA115><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>scattered.ps</TT>,   <!WA116><!WA116><!WA116><!WA116><A href="ftp://ftp.cs.wisc.edu/Approx/scattered.ps.Z"><!WA117><!WA117><!WA117><!WA117><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>scattered.ps.Z</TT> :=<BR>
Radial basis function approximation: from gridded centers to scattered centers<BR>
Nira Dyn and Amos Ron<BR>
November 1993<BR>
Proc. London Math. Soc. (1995)<BR>

<P>
<DD><!WA118><!WA118><!WA118><!WA118><A href="ftp://ftp.cs.wisc.edu/Approx/approxloc.ps"><!WA119><!WA119><!WA119><!WA119><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>approxloc.ps</TT>,   <!WA120><!WA120><!WA120><!WA120><A href="ftp://ftp.cs.wisc.edu/Approx/approxloc.ps.Z"><!WA121><!WA121><!WA121><!WA121><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>approxloc.ps.Z</TT> :=<BR>
Approximation orders of  and approximation maps from  local principal <BR>
shift-invariant spaces<BR>
Amos Ron<BR>
May 1993<BR>
JAT (1995)<BR>

<P>
<DD><!WA122><!WA122><!WA122><!WA122><A href="ftp://ftp.cs.wisc.edu/Approx/boxeval.ps"><!WA123><!WA123><!WA123><!WA123><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>boxeval.ps</TT>,   <!WA124><!WA124><!WA124><!WA124><A href="ftp://ftp.cs.wisc.edu/Approx/boxeval.ps.Z"><!WA125><!WA125><!WA125><!WA125><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>boxeval.ps.Z</TT> :=<BR>
On the evaluation of box splines,<BR>
Carl de Boor<BR>
March 1993 <BR>
has appeared in Numer.Algorithms; 5; 1993; 5--23;<BR>

<P>
<DD><!WA126><!WA126><!WA126><!WA126><A href="ftp://ftp.cs.wisc.edu/Approx/multpp.ps"><!WA127><!WA127><!WA127><!WA127><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>multpp.ps</TT>,   <!WA128><!WA128><!WA128><!WA128><A href="ftp://ftp.cs.wisc.edu/Approx/multpp.ps.Z"><!WA129><!WA129><!WA129><!WA129><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>multpp.ps.Z</TT> :=<BR>
Multivariate piecewise polynomials,<BR>
Carl de Boor<BR>
October 1992 <BR>
has appeared in Acta Numerica; 2; 1993; 65--109;<BR>

<P>
<DD><!WA130><!WA130><!WA130><!WA130><A href="ftp://ftp.cs.wisc.edu/Approx/wav2.ps"><!WA131><!WA131><!WA131><!WA131><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>wav2.ps</TT>,   <!WA132><!WA132><!WA132><!WA132><A href="ftp://ftp.cs.wisc.edu/Approx/wav2.ps.Z"><!WA133><!WA133><!WA133><!WA133><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>wav2.ps.Z</TT> :=<BR>
Multiresolution analysis by infinitely differentiable compactly<BR>
supported functions<BR>
Nira Dyn, Amos  Ron<BR>
September 1992<BR>
ACHA (1995)<BR>

<P>
<DD><!WA134><!WA134><!WA134><!WA134><A href="ftp://ftp.cs.wisc.edu/Approx/stablemask.ps"><!WA135><!WA135><!WA135><!WA135><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>stablemask.ps</TT>,   <!WA136><!WA136><!WA136><!WA136><A href="ftp://ftp.cs.wisc.edu/Approx/stablemask.ps.Z"><!WA137><!WA137><!WA137><!WA137><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>stablemask.ps.Z</TT> :=<BR>
Characterizations of linear independence and stability of the shifts of a <BR>
univariate refinable function in terms of its refinement mask<BR>
Amos Ron<BR>
September 1992<BR>

<P>
<DD><!WA138><!WA138><!WA138><!WA138><A href="ftp://ftp.cs.wisc.edu/Approx/sct1.ps"><!WA139><!WA139><!WA139><!WA139><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>sct1.ps</TT>,   <!WA140><!WA140><!WA140><!WA140><A href="ftp://ftp.cs.wisc.edu/Approx/sct1.ps.Z"><!WA141><!WA141><!WA141><!WA141><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>sct1.ps.Z</TT> :=<BR>
Negative observations concerning approximations from spaces generated by <BR>
scattered shifts of functions vanishing at $\infty$<BR>
Amos Ron<BR>
September 1992<BR>
has appeared in \JAT; 78(3); 1994; 364--372;<BR>

<P>
<DD><!WA142><!WA142><!WA142><!WA142><A href="ftp://ftp.cs.wisc.edu/Approx/aowoquasi.ps"><!WA143><!WA143><!WA143><!WA143><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>aowoquasi.ps</TT>,   <!WA144><!WA144><!WA144><!WA144><A href="ftp://ftp.cs.wisc.edu/Approx/aowoquasi.ps.Z"><!WA145><!WA145><!WA145><!WA145><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>aowoquasi.ps.Z</TT> :=<BR>
Approximation order without quasi-interpolants<BR>
Carl de Boor<BR>
August 1992<BR>
has appeared in \TexasVII; 1--18;<BR>

<P>
<DD><!WA146><!WA146><!WA146><!WA146><A href="ftp://ftp.cs.wisc.edu/Approx/ker.ps"><!WA147><!WA147><!WA147><!WA147><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>ker.ps</TT>,   <!WA148><!WA148><!WA148><!WA148><A href="ftp://ftp.cs.wisc.edu/Approx/ker.ps.Z"><!WA149><!WA149><!WA149><!WA149><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>ker.ps.Z</TT> :=<BR>
On ascertaining inductively the dimension of the joint kernel <BR>
of certain commuting linear operators<BR>
Carl de Boor, Amos Ron, Zuowei Shen<BR>
June 1992; updated Apr 96 to reflect copy editor's changes<BR>
has appeared in \AiAM; 17; 1996; 209--250;<BR>

<P>
<DD><!WA150><!WA150><!WA150><!WA150><A href="ftp://ftp.cs.wisc.edu/Approx/aoradial.ps"><!WA151><!WA151><!WA151><!WA151><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>aoradial.ps</TT>,   <!WA152><!WA152><!WA152><!WA152><A href="ftp://ftp.cs.wisc.edu/Approx/aoradial.ps.Z"><!WA153><!WA153><!WA153><!WA153><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>aoradial.ps.Z</TT> :=<BR>
The $L_2$-Approximation Orders of Principal Shift-Invariant<BR>
Spaces Generated by a Radial Basis Function<BR>
Amos Ron<BR>
March 1992<BR>
has appeared in \Nmatnion; 245--268;<BR>

<P>
<DD><!WA154><!WA154><!WA154><!WA154><A href="ftp://ftp.cs.wisc.edu/Approx/aobivar.ps"><!WA155><!WA155><!WA155><!WA155><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>aobivar.ps</TT>,   <!WA156><!WA156><!WA156><!WA156><A href="ftp://ftp.cs.wisc.edu/Approx/aobivar.ps.Z"><!WA157><!WA157><!WA157><!WA157><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>aobivar.ps.Z</TT> :=<BR>
A sharp upper bound on the approximation order of smooth bivariate pp functions<BR>
Carl de Boor and Rong-Qing Jia<BR>
March 1992<BR>
has appeared in J.Approx.Theory; 72(1); 1993; 24--33;<BR>

<P>
<DD><!WA158><!WA158><!WA158><!WA158><A href="ftp://ftp.cs.wisc.edu/Approx/wavelet.ps"><!WA159><!WA159><!WA159><!WA159><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>wavelet.ps</TT>,   <!WA160><!WA160><!WA160><!WA160><A href="ftp://ftp.cs.wisc.edu/Approx/wavelet.ps.Z"><!WA161><!WA161><!WA161><!WA161><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>wavelet.ps.Z</TT> :=<BR>
On the construction of multivariate (pre)wavelets<BR>
Carl de Boor, Ronald A. DeVore, Amos Ron<BR>
February 1992<BR>
has appeared in Constr.Approx.; 9; 1993; 123--166;<BR>

<P>
<DD><!WA162><!WA162><!WA162><!WA162><A href="ftp://ftp.cs.wisc.edu/Approx/several.ps"><!WA163><!WA163><!WA163><!WA163><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>several.ps</TT>,   <!WA164><!WA164><!WA164><!WA164><A href="ftp://ftp.cs.wisc.edu/Approx/several.ps.Z"><!WA165><!WA165><!WA165><!WA165><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>several.ps.Z</TT> :=<BR>
The structure of finitely generated shift-invariant spaces in $L_2(\RR^d)$ <BR>
Carl de Boor, Ronald A. DeVore, Amos Ron<BR>
February 1992<BR>
has appeared in J. of Functional Analysis 119(1); 1994; 37--78;<BR>

<P>
<DD><!WA166><!WA166><!WA166><!WA166><A href="ftp://ftp.cs.wisc.edu/Approx/polinterr.ps"><!WA167><!WA167><!WA167><!WA167><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>polinterr.ps</TT>,   <!WA168><!WA168><!WA168><!WA168><A href="ftp://ftp.cs.wisc.edu/Approx/polinterr.ps.Z"><!WA169><!WA169><!WA169><!WA169><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>polinterr.ps.Z</TT> :=<BR>
On the error in multivariate polynomial interpolation<BR>
Carl de Boor<BR>
has appeared in Applied Numerical Mathematics; 10; 1992; 297--305;<BR>

<P>
<DD><!WA170><!WA170><!WA170><!WA170><A href="ftp://ftp.cs.wisc.edu/Approx/l2shift.ps"><!WA171><!WA171><!WA171><!WA171><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>l2shift.ps</TT>,   <!WA172><!WA172><!WA172><!WA172><A href="ftp://ftp.cs.wisc.edu/Approx/l2shift.ps.Z"><!WA173><!WA173><!WA173><!WA173><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>l2shift.ps.Z</TT> := <BR>
Approximation from shift-invariant subspaces of $L_2(\RR^d)$ <BR>
Carl de Boor, Ronald A. DeVore, Amos Ron<BR>
July 1991<BR>
has appeared in Trans.Amer.Math.Soc. 341; 1994; 787--806;<BR>
%%% note, this file has the name `ell-2-shift', not `one-two-shift'.<BR>

<P>
<DD><!WA174><!WA174><!WA174><!WA174><A href="ftp://ftp.cs.wisc.edu/Approx/aoinfty.ps"><!WA175><!WA175><!WA175><!WA175><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>aoinfty.ps</TT>,   <!WA176><!WA176><!WA176><!WA176><A href="ftp://ftp.cs.wisc.edu/Approx/aoinfty.ps.Z"><!WA177><!WA177><!WA177><!WA177><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>aoinfty.ps.Z</TT> :=<BR>
Fourier analysis of the approximation power of principal shift-invariant spaces<BR>
Carl de Boor, Amos Ron<BR>
July 1991<BR>
has appeared in  Constr.Approx.; 8; 1992; 427--462;<BR>

<P>
<DD><!WA178><!WA178><!WA178><!WA178><A href="ftp://ftp.cs.wisc.edu/Approx/quasiaprx.ps"><!WA179><!WA179><!WA179><!WA179><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>quasiaprx.ps</TT>,   <!WA180><!WA180><!WA180><!WA180><A href="ftp://ftp.cs.wisc.edu/Approx/quasiaprx.ps.Z"><!WA181><!WA181><!WA181><!WA181><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>quasiaprx.ps.Z</TT> :=<BR>
Quasiinterpolants and approximation power of multivariate splines<BR>
Carl de Boor<BR>
July 1990<BR>
has appeared in<BR>
(Computations of curves and surfaces), Dahmen, Gasca, Micchelli <BR>
(eds.), Kluwer (Dordrecht, Netherlands); 1990; 313--345;<BR>

<P>
<DD><!WA182><!WA182><!WA182><!WA182><A href="ftp://ftp.cs.wisc.edu/Approx/leastsol.ps"><!WA183><!WA183><!WA183><!WA183><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>leastsol.ps</TT>,   <!WA184><!WA184><!WA184><!WA184><A href="ftp://ftp.cs.wisc.edu/Approx/leastsol.ps.Z"><!WA185><!WA185><!WA185><!WA185><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>leastsol.ps.Z</TT> :=<BR>
The least solution for the polynomial interpolation problem;<BR>
Carl de Boor, Amos Ron<BR>
has appeared in Math.Zeitschrift; 210; 1992; 347--378;<BR>

<P>
<DD><!WA186><!WA186><!WA186><!WA186><A href="ftp://ftp.cs.wisc.edu/Approx/compleast.ps"><!WA187><!WA187><!WA187><!WA187><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>compleast.ps</TT>,   <!WA188><!WA188><!WA188><!WA188><A href="ftp://ftp.cs.wisc.edu/Approx/compleast.ps.Z"><!WA189><!WA189><!WA189><!WA189><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>compleast.ps.Z</TT> :=<BR>
Computational aspects of polynomial interpolation in several variables<BR>
Carl de Boor, Amos Ron<BR>
has appeared in Math.Comp.; 58; 1992; 705--727;<BR>

<P>
<DD><!WA190><!WA190><!WA190><!WA190><A href="ftp://ftp.cs.wisc.edu/Approx/polintconte.ps"><!WA191><!WA191><!WA191><!WA191><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>polintconte.ps</TT>,   <!WA192><!WA192><!WA192><!WA192><A href="ftp://ftp.cs.wisc.edu/Approx/polintconte.ps.Z"><!WA193><!WA193><!WA193><!WA193><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>polintconte.ps.Z</TT> :=<BR>
Polynomial interpolation in several variables<BR>
Carl de Boor<BR>
March 1990<BR>
has appeared in <BR>
(Studies in Computer Science {(in Honor of Samuel D. Conte)}),<BR>
R. DeMillo and J. R. Rice (eds.), Plenum Press (New York); 1994; 87--119;<BR>

<P>
<DD><!WA194><!WA194><!WA194><!WA194><A href="ftp://ftp.cs.wisc.edu/Approx/polideal.ps"><!WA195><!WA195><!WA195><!WA195><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>polideal.ps</TT>,   <!WA196><!WA196><!WA196><!WA196><A href="ftp://ftp.cs.wisc.edu/Approx/polideal.ps.Z"><!WA197><!WA197><!WA197><!WA197><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>polideal.ps.Z</TT> :=<BR>
Polynomial ideals and multivariate splines;<BR>
Carl de Boor, Amos Ron<BR>
has appeared in <BR>
(Multivariate Approximation Theory IV, ISNM 90),<BR>
C. Chui, W. Schempp, and K. Zeller (eds.),<BR>
Birk\-h\"auser Verlag (Basel); 1989; 31--40;<BR>

<P>
<DD><!WA198><!WA198><!WA198><!WA198><A href="ftp://ftp.cs.wisc.edu/Approx/multiint.ps"><!WA199><!WA199><!WA199><!WA199><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>multiint.ps</TT>,   <!WA200><!WA200><!WA200><!WA200><A href="ftp://ftp.cs.wisc.edu/Approx/multiint.ps.Z"><!WA201><!WA201><!WA201><!WA201><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>multiint.ps.Z</TT> :=<BR>
On multivariate polynomial interpolation;<BR>
Carl de Boor, Amos Ron<BR>
has appeared in Constr. Approx.; 6; 1990; 287--302;<BR>

<P>
<DD><!WA202><!WA202><!WA202><!WA202><A href="ftp://ftp.cs.wisc.edu/Approx/bsplbasic.ps"><!WA203><!WA203><!WA203><!WA203><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>bsplbasic.ps</TT>,   <!WA204><!WA204><!WA204><!WA204><A href="ftp://ftp.cs.wisc.edu/Approx/bsplbasic.ps.Z"><!WA205><!WA205><!WA205><!WA205><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>bsplbasic.ps.Z</TT> :=<BR>
B-spline basics<BR>
Carl de Boor<BR>
(MRC 2952, 1986)<BR>
in (Fundamental Developments of Computer-Aided Geometric Modeling),<BR>
Les Piegl (ed.), Academic Press (London) 1993; 27--49;<BR>
% Corrected (in Section 12) on 04 mar 96. <BR>
% Scaling of figures adjusted and misprints corrected on 03 jun 96<BR>
% A misprint corrected (and adjusted to current tex-macros) on 06 jun 96<BR>

<P>
<DD><!WA206><!WA206><!WA206><!WA206><A href="ftp://ftp.cs.wisc.edu/Approx/quasi.ps"><!WA207><!WA207><!WA207><!WA207><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>quasi.ps</TT>,   <!WA208><!WA208><!WA208><!WA208><A href="ftp://ftp.cs.wisc.edu/Approx/quasi.ps.Z"><!WA209><!WA209><!WA209><!WA209><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>quasi.ps.Z</TT> :=<BR>
The exponentials in the span of the multiinteger <BR>
translates of a compactly supported function: <BR>
quasiinterpolation and approximation order<BR>
1989<BR>
Carl de Boor and Amos Ron<BR>
has appeared in<BR>
J. London Math. Soc. (2); 45; 1992; 519--535;<BR>


<P>
<DD><!WA210><!WA210><!WA210><!WA210><A href="ftp://ftp.cs.wisc.edu/Approx/BBform.ps"><!WA211><!WA211><!WA211><!WA211><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>BBform.ps</TT>,   <!WA212><!WA212><!WA212><!WA212><A href="ftp://ftp.cs.wisc.edu/Approx/BBform.ps.Z"><!WA213><!WA213><!WA213><!WA213><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>BBform.ps.Z</TT> :=<BR>
$B$--form basics;<BR>
Carl de Boor<BR>
in (Geometric Modeling: Algorithms and New Trends),<BR>
G. E.  Farin (ed.),<BR>
SIAM Publications (Philadelphia); 1987; 131--148;<BR>

<P>
<DD><!WA214><!WA214><!WA214><!WA214><A href="ftp://ftp.cs.wisc.edu/Approx/notaknot.ps"><!WA215><!WA215><!WA215><!WA215><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>notaknot.ps</TT>,   <!WA216><!WA216><!WA216><!WA216><A href="ftp://ftp.cs.wisc.edu/Approx/notaknot.ps.Z"><!WA217><!WA217><!WA217><!WA217><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>notaknot.ps.Z</TT> :=<BR>
Convergence of cubic spline interpolation with the not-a-knot condition<BR>
Carl de Boor<BR>
MRC TSR 2876, October 1985<BR>

<P>
<DD><!WA218><!WA218><!WA218><!WA218><A href="ftp://ftp.cs.wisc.edu/Approx/contrapp.ps"><!WA219><!WA219><!WA219><!WA219><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>contrapp.ps</TT>,   <!WA220><!WA220><!WA220><!WA220><A href="ftp://ftp.cs.wisc.edu/Approx/contrapp.ps.Z"><!WA221><!WA221><!WA221><!WA221><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>contrapp.ps.Z</TT> :=<BR>
Controlled approximation and a characterization of the local<BR>
approximation order;<BR>
Carl de Boor and R.-Q. Jia<BR>
has appeared in Proc.\ AMS; 95(4); 1985; 547--553;<BR>

<P>
<DD><!WA222><!WA222><!WA222><!WA222><A href="ftp://ftp.cs.wisc.edu/Approx/agee.ps"><!WA223><!WA223><!WA223><!WA223><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>agee.ps</TT>,   <!WA224><!WA224><!WA224><!WA224><A href="ftp://ftp.cs.wisc.edu/Approx/agee.ps.Z"><!WA225><!WA225><!WA225><!WA225><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>agee.ps.Z</TT> :=<BR>
How does Agee's smoothing method work?<BR>
Carl de Boor<BR>
has appeared in <BR>
(Proceedings of the 1979 Army Numerical Analysis and Computers Conference),<BR>
xxx (ed.), ARO Rept.\ 79-3, Army Research Office (Triangle Park NC); 1979;<BR>
299--302;<BR>

<P>
<DD><!WA226><!WA226><!WA226><!WA226><A href="ftp://ftp.cs.wisc.edu/Approx/survey76.ps"><!WA227><!WA227><!WA227><!WA227><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>survey76.ps</TT>,   <!WA228><!WA228><!WA228><!WA228><A href="ftp://ftp.cs.wisc.edu/Approx/survey76.ps.Z"><!WA229><!WA229><!WA229><!WA229><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>survey76.ps.Z</TT> := <BR>
Splines as linear combinations of B-splines.  A Survey<BR>
(corrected version (with updated references))<BR>
Carl de Boor<BR>
has appeared in \TexasII; 1--47;<BR>

<P>
<DD><!WA230><!WA230><!WA230><!WA230><A href="ftp://ftp.cs.wisc.edu/Approx/loclinfl.ps"><!WA231><!WA231><!WA231><!WA231><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>loclinfl.ps</TT>,   <!WA232><!WA232><!WA232><!WA232><A href="ftp://ftp.cs.wisc.edu/Approx/loclinfl.ps.Z"><!WA233><!WA233><!WA233><!WA233><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>loclinfl.ps.Z</TT> :=<BR>
On local linear functionals which vanish at all $B$-splines but one;<BR>
Carl de Boor<BR>
has appeared in (Theory of Approximation with Applications),<BR>
A. G. Law and N. B. Sahney (eds.),<BR>
Academic Press (New York); 1976; 120--145;<BR>

<P>
<DD><!WA234><!WA234><!WA234><!WA234><A href="ftp://ftp.cs.wisc.edu/Approx/quasiint.ps"><!WA235><!WA235><!WA235><!WA235><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>quasiint.ps</TT>,   <!WA236><!WA236><!WA236><!WA236><A href="ftp://ftp.cs.wisc.edu/Approx/quasiint.ps.Z"><!WA237><!WA237><!WA237><!WA237><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>quasiint.ps.Z</TT> :=<BR>
The quasi-interpolant as a tool in elementary polynomial spline theory;<BR>
Carl de Boor, 1973<BR>
has appeared in \TexasI; 269--276;<BR>

<P>
<DD><!WA238><!WA238><!WA238><!WA238><A href="ftp://ftp.cs.wisc.edu/Approx/tr21.ps"><!WA239><!WA239><!WA239><!WA239><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>tr21.ps</TT>,   <!WA240><!WA240><!WA240><!WA240><A href="ftp://ftp.cs.wisc.edu/Approx/tr21.ps.Z"><!WA241><!WA241><!WA241><!WA241><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>tr21.ps.Z</TT> :=<BR>
Least Squares Cubic Spline Approximation II -- Variable Knots<BR>
Carl de Boor, John R. Rice<BR>
April 1968  CSD TR 21<BR>

<P>
<DD><!WA242><!WA242><!WA242><!WA242><A href="ftp://ftp.cs.wisc.edu/Approx/tr20.ps"><!WA243><!WA243><!WA243><!WA243><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>tr20.ps</TT>,   <!WA244><!WA244><!WA244><!WA244><A href="ftp://ftp.cs.wisc.edu/Approx/tr20.ps.Z"><!WA245><!WA245><!WA245><!WA245><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>tr20.ps.Z</TT> :=<BR>
Least Squares Cubic Spline Approximation I -- Fixed Knots<BR>
Carl de Boor, John R. Rice<BR>
April 1968  CSD TR 20<BR>

<P>
<DD><!WA246><!WA246><!WA246><!WA246><A href="ftp://ftp.cs.wisc.edu/Approx/deboorphd.ps"><!WA247><!WA247><!WA247><!WA247><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>deboorphd.ps</TT>,   <!WA248><!WA248><!WA248><!WA248><A href="ftp://ftp.cs.wisc.edu/Approx/deboorphd.ps.Z"><!WA249><!WA249><!WA249><!WA249><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>deboorphd.ps.Z</TT> :=<BR>
The method of projections as applied to the numerical solution of two point<BR>
boundary value problems using cubic splines<BR>
(corrected version (with updated references))<BR>
Carl de Boor Ph.D. thesis, Univ.\ Michigan<BR>
August 1966<BR>


<P>
<DD><!WA250><!WA250><!WA250><!WA250><A href="ftp://ftp.cs.wisc.edu/Approx/viva_vi.ps"><!WA251><!WA251><!WA251><!WA251><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>viva_vi.ps</TT>,   <!WA252><!WA252><!WA252><!WA252><A href="ftp://ftp.cs.wisc.edu/Approx/viva_vi.ps.Z"><!WA253><!WA253><!WA253><!WA253><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>viva_vi.ps.Z</TT> :=<BR>
Viva vi!, (a brief introduction to vi)<BR>
Carl de Boor<BR>
version: aug 96<BR>

<P>
<DD><!WA254><!WA254><!WA254><!WA254><A href="ftp://ftp.cs.wisc.edu/Approx/format.tex"><!WA255><!WA255><!WA255><!WA255><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>format.tex</TT>,   <!WA256><!WA256><!WA256><!WA256><A href="ftp://ftp.cs.wisc.edu/Approx/format.tex.Z"><!WA257><!WA257><!WA257><!WA257><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>format.tex.Z</TT> :=<BR>
A file of plain TeX macros useful for writing papers and books in plain TeX<BR>
(including automatic sequencing of formal items and items in the<BR>
bibliography, and the exact placement of items).<BR>
Carl de Boor<BR>
version: 15 apr 96<BR>

<P>
<DD><!WA258><!WA258><!WA258><!WA258><A href="ftp://ftp.cs.wisc.edu/Approx/verbatim.tex"><!WA259><!WA259><!WA259><!WA259><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>verbatim.tex</TT>,   <!WA260><!WA260><!WA260><!WA260><A href="ftp://ftp.cs.wisc.edu/Approx/verbatim.tex.Z"><!WA261><!WA261><!WA261><!WA261><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>verbatim.tex.Z</TT> :=<BR>
A file of plain TeX macros useful for handling the typesetting of programs<BR>
and program-related material in plain TeX.<BR>
Carl de Boor<BR>
version: 22 se 94<BR>

<P>
<DD><!WA262><!WA262><!WA262><!WA262><A href="ftp://ftp.cs.wisc.edu/Approx/journal.tex"><!WA263><!WA263><!WA263><!WA263><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>journal.tex</TT>,   <!WA264><!WA264><!WA264><!WA264><A href="ftp://ftp.cs.wisc.edu/Approx/journal.tex.Z"><!WA265><!WA265><!WA265><!WA265><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>journal.tex.Z</TT> :=<BR>
TeX macros of use with the spline bibliography.<BR>
Carl de Boor<BR>
version: 15 apr 96<BR>

<P>
<DD><!WA266><!WA266><!WA266><!WA266><A href="ftp://ftp.cs.wisc.edu/Approx/proceed.tex"><!WA267><!WA267><!WA267><!WA267><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>proceed.tex</TT>,   <!WA268><!WA268><!WA268><!WA268><A href="ftp://ftp.cs.wisc.edu/Approx/proceed.tex.Z"><!WA269><!WA269><!WA269><!WA269><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>proceed.tex.Z</TT> :=<BR>
TeX macros of use with the spline bibliography.<BR>
Carl de Boor<BR>
version: 19 apr 96<BR>

<P>
<DD><!WA270><!WA270><!WA270><!WA270><A href="ftp://ftp.cs.wisc.edu/Approx/refmac.tex"><!WA271><!WA271><!WA271><!WA271><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>refmac.tex</TT>,   <!WA272><!WA272><!WA272><!WA272><A href="ftp://ftp.cs.wisc.edu/Approx/refmac.tex.Z"><!WA273><!WA273><!WA273><!WA273><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>refmac.tex.Z</TT> :=<BR>
TeX macros of use with the spline bibliography.<BR>
Carl de Boor<BR>

<P>
<DD><!WA274><!WA274><!WA274><!WA274><A href="ftp://ftp.cs.wisc.edu/Approx/message.mm"><!WA275><!WA275><!WA275><!WA275><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>message.mm</TT>,   <!WA276><!WA276><!WA276><!WA276><A href="ftp://ftp.cs.wisc.edu/Approx/message.mm.Z"><!WA277><!WA277><!WA277><!WA277><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>message.mm.Z</TT> :=<BR>
a self-unwrapping wrapper containing files for simplifying the safe mailing of<BR>
files via email.<BR>
Carl de Boor<BR>
version: mar 96<BR>
